Segments and Geographical Information - Non-Cash Expenses (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2025	Sep. 30, 2024
Segment Reporting Information [Line Items]
Stock-based compensation	$ 48,377	$ 49,039	$ 141,582	$ 134,855
Depreciation and amortization	55,717	37,793	135,441	106,905
Operating Segments | Clear Aligner
Segment Reporting Information [Line Items]
Stock-based compensation	6,069	7,648	17,952	20,031
Depreciation and amortization	32,976	17,971	71,375	49,027
Operating Segments | Systems and Services
Segment Reporting Information [Line Items]
Stock-based compensation	419	427	1,225	1,207
Depreciation and amortization	11,160	8,099	28,931	23,007
Unallocated corporate expenses
Segment Reporting Information [Line Items]
Stock-based compensation	41,889	40,964	122,405	113,617
Depreciation and amortization	$ 11,581	$ 11,723	$ 35,135	$ 34,871